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Fundamental solution to the heat equation, given boundary values
In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate
Heat_kernel
Summability method in physics
the relation by the inverse Mellin transformation to the trace of the kernel of heat equations. The first example in which zeta function regularization is
Zeta_function_regularization
A heat kernel signature (HKS) is a feature descriptor for use in deformable shape analysis and belongs to the group of spectral shape analysis methods
Heat_kernel_signature
Generalized function whose value is zero everywhere except at zero
using the Fourier transform directly (as in the case of the Poisson kernel and heat kernel already mentioned). For more complicated operators, it is sometimes
Dirac_delta_function
used for partial shape matching. The heat kernel signature makes use of the eigen-decomposition of the heat kernel: h t ( x , y ) = ∑ i = 0 ∞ exp ( −
Spectral_shape_analysis
_{i}t}} is the trace of the heat kernel. The poles of the zeta function can be found from the asymptotic behavior of the heat kernel as t→0. If the manifold
Minakshisundaram–Pleijel zeta function
Minakshisundaram–Pleijel_zeta_function
Concept in statistics
In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method
Kernel_density_estimation
Differential operator in mathematics
manifolds, the same construction defines a heat semigroup whose integral kernel is again called the heat kernel. Its short-time asymptotic behaviour encodes
Laplace_operator
Partial differential equation describing the evolution of temperature in a region
conjecture by Grigori Perelman in 2003. Certain solutions of the heat equation known as heat kernels provide subtle information about the region on which they
Heat_equation
American mathematician and Nobel Laureate (1928–2015)
in strong contrast to Nash's work, which is based on analysis of the heat kernel. Nash's approach to the De Giorgi–Nash theory was later revisited by
John_Forbes_Nash_Jr.
Group in group theory and physics
this process are given by the heat kernel of the sub-Laplacian. This provides a probabilistic interpretation of the heat equation on the Heisenberg group
Heisenberg_group
Russian-American mathematician
differential geometry, and functional analysis, including the study of heat kernels on infinite-dimensional groups. Gordina is the daughter of mathematician
Maria_Gordina
Topics referred to by the same term
Integral kernel or kernel function, a function of two variables that defines an integral transform Heat kernel, the fundamental solution to the heat equation
Kernel
Polynomial sequence
, β ) {\displaystyle G_{t}^{(\alpha ,\beta )}} is called the Jacobi heat kernel. The discriminant is Disc ( P n ( α , β ) ) = 2 − n ( n − 1 ) ∏ j =
Jacobi_polynomials
Mathematical function
linearly related to √t; this time-varying Gaussian is described by the heat kernel. More generally, if the initial mass-density is φ(x), then the mass-density
Gaussian_function
Chinese-American mathematician (born 1949)
symmetry of the heat kernel.[CY81] Specializing to rotationally symmetric metrics, they used the exponential map to transplant the heat kernel to a geodesic
Shing-Tung_Yau
Partial differential equation
general solutions of the PDE in terms of the initial datum and the heat kernel. Consider the following PDE: u t − a Δ u + b ‖ ∇ u ‖ 2 = 0 , u ( 0 , x )
Cole–Hopf_transformation
American mathematician (born 1931)
L^{2}} -space of functions on a compact Lie group with respect to a heat kernel measure. This decomposition then led to many other developments in the
Leonard_Gross
Role of coherent states
states in which the usual Gaussian on Euclidean space is replaced by the heat kernel on K. The parameter space for the coherent states is the "complexification"
Coherent states in mathematical physics
Coherent_states_in_mathematical_physics
Yang–Mills theory in two dimensions with a well-defined measure
retrospect, be seen to be connected to the heat kernel on the structure group of the theory. The role of the heat kernel was made more explicit in various works
Two-dimensional Yang–Mills theory
Two-dimensional_Yang–Mills_theory
Continuous stochastic process
However, this is the canonical form of the heat equation. which has the solution given by the heat kernel: p ( τ , ξ ) = 1 4 π τ exp ( − ξ 2 4 τ ) {\displaystyle
Geometric_Brownian_motion
Process by which heat is transferred within an object
^{2}T}{\partial z^{2}}}\right)} with a fundamental solution famously known as the heat kernel. By integrating the differential form over the material's total surface
Thermal_conduction
Straight path on a curved surface or a Riemannian manifold
short-time behavior of the heat kernel to squared geodesic distance; applying that formula to a numerical approximation of the heat kernel, however, gives poor
Geodesic
British mathematician
probability theory and mathematical analysis, including Malliavin calculus, heat kernel estimates, and mathematical models for coagulation and fragmentation
James_R._Norris
then its convolution with an appropriately scaled and time-reversed heat kernel is non-increasing. The result is named after Gerhard Huisken, who published
Huisken's monotonicity formula
Huisken's_monotonicity_formula
Random change in the energy inside a volume
(}|k|^{2}+m^{2}{\big )}} (the relativistic quantum kernel is nonlocal differently from the non-relativistic classical heat kernel, but it is causal),[citation needed]
Quantum_fluctuation
Hilbert space of square-integrable holomorphic functions of n complex variables
representation Hardy space B.C. Hall, "The range of the heat operator", in The Ubiquitous Heat Kernel, edited by Jay Jorgensen and Lynne H. Walling, AMS 2006
Segal–Bargmann_space
Construction in algebraic geometry
a Riemannian manifold shows up in the large time asymptotics of the heat kernel on a periodic manifold (Kotani & Sunada (2000) and Sunada (2012)). In
Abel–Jacobi_map
Non-Euclidean geometry
formula Pseudosphere Grigor'yan, Alexander; Noguchi, Masakazu (1998), "The heat kernel on hyperbolic space", The Bulletin of the London Mathematical Society
Hyperbolic_space
Complex-valued function
The Mehler kernel is a complex-valued function found to be the propagator of the quantum harmonic oscillator. It was first discovered by Mehler in 1866
Mehler_kernel
Deep learning method
invertible, because convolution by a gaussian is just convolution by the heat kernel, so given any μ ∈ P ( R n ) {\displaystyle \mu \in {\mathcal {P}}(\mathbb
Generative adversarial network
Generative_adversarial_network
Short "burst" or "envelope" of restricted wave action that travels as a unit
\over {\sqrt {2\pi t}}}e^{-x^{2} \over 2t},} which is a form of the heat kernel. Since the integral of ρt is constant while the width is becoming narrow
Wave_packet
Topological space that locally resembles Euclidean space
harmonic functions: the kernel of the Laplace operator. This leads to such functions as the spherical harmonics, and to heat kernel methods of studying manifolds
Manifold
Model compatible with special relativity
special relativity: the Green function associated to the heat equation (also known as heat kernel) has support that extends outside the light-cone, leading
Relativistic_heat_conduction
y ) {\displaystyle p(t,x,y)} of Brownian motion is the minimal heat kernel of the heat equation. Interpreting the paths of Brownian motion as characteristic
Stochastic analysis on manifolds
Stochastic_analysis_on_manifolds
Force resulting from the quantisation of a field
followed by the taking of a limit so as to remove the regulator. The heat kernel or exponentially regulated sum is ⟨ E ( t ) ⟩ = 1 2 ∑ n ℏ | ω n | exp
Casimir_effect
First-order differential linear operator on spinor bundle, whose square is the Laplacian
equation Clifford algebra Clifford analysis Connection Dolbeault operator Heat kernel Spinor bundle Hamilton, William Rowan (1847). "On quaternions; or on
Dirac_operator
American mathematician
Yuen; Li, Peter; Yau, Shing-Tung (1981). "On the upper estimate of the heat kernel of a complete Riemannian manifold". American Journal of Mathematics.
Peter_Li_(mathematician)
American theoretical physicist (1923–2004)
developed canonical quantum gravity, manifestly covariant methods, and heat kernel algorithms. DeWitt formulated the Wheeler–DeWitt equation for the wave
Bryce_DeWitt
Mathematical descriptions of molecular diffusion
has the same mathematical form as the Heat equation and its fundamental solution is the same as the Heat kernel, except switching thermal conductivity
Fick's_laws_of_diffusion
Dutch mathematician (1942–2010)
ISBN 978-0-8176-8107-4, MR 1362544 Duistermaat, J. J. (2011), The heat kernel Lefschetz fixed point formula for the Spinc dirac operator, Boston: Birkhäuser
Hans_Duistermaat
Comparison of a wide range of timescales
Loss in Black Holes and/or Conscious Beings?". In Fulling, S.A. (ed.). Heat Kernel Techniques and Quantum Gravity. Discourses in Mathematics and its Applications
Orders_of_magnitude_(time)
Measure of the deviation of position over time
takes the form of 1D heat equation. The one-dimensional PDF below is the Green's function of heat equation (also known as Heat kernel in mathematics): P
Mean_squared_displacement
Fundamental theorem in condensed matter physics
(2000). "Albanese maps and an off diagonal long time asymptotic for the heat kernel". Comm. Math. Phys. 209 (3): 633–670. Bibcode:2000CMaPh.209..633K. doi:10
Bloch's_theorem
harmonic functions: the kernel of the Laplace operator. This leads to such functions as the spherical harmonics, and to heat kernel methods of studying manifolds
Maps_of_manifolds
Concept in mathematical analysis
Pólya–Szegő inequality can be proved by representing the Sobolev energy by the heat kernel. One begins by observing that ∫ R n | ∇ u | 2 = lim t → 0 1 t ( ∫ R n
Pólya–Szegő_inequality
Motion of a curve based on its curvature
with Gaussian weights to each pixel. It is possible to use kernels other than the heat kernel, or to adaptively refine the grid so that it has high resolution
Curve-shortening_flow
Arakelov theory is the zeta functions for operators with the method of heat kernels generalized algebro-geometrically. Quillen metric Lapidus & van Frankenhuijsen
Zeta_function_(operator)
Stochastic volatility model used in derivatives markets
reduced to a system of autonomous PDEs that can be solved using the heat kernel, by means of the Wei-Norman factorization method and Lie algebraic techniques
SABR_volatility_model
δn(A) and δn([a, D]) for positive integers n. They are related to the heat kernel exp(-t|D|) by a Mellin transform. The collection of the poles of the
Spectral_triple
Equation in Fourier analysis
fundamental solution of the heat equation with absorbing rectangular boundary by the method of images. Here the heat kernel on R 2 {\displaystyle \mathbb
Poisson_summation_formula
Representation theory of the symplectic group
starting with the 1933 lecture notes of Norbert Wiener, who used the heat kernel for the harmonic oscillator to derive the properties of the Fourier transform
Oscillator_representation
Numbers significantly larger than those used regularly
Information Loss in Black Holes and/or Conscious Beings?, Don N. Page, Heat Kernel Techniques and Quantum Gravity (1995), S. A. Fulling (ed), p. 461. Discourses
Large_numbers
Concept in probability theory
In probability theory, a Markov kernel (also known as a stochastic kernel or probability kernel) is a map that in the general theory of Markov processes
Markov_kernel
geometry of a given diffusion operator T {\displaystyle T} (e.g., a heat kernel or a random walk). Moreover, the diffusion wavelet basis functions are
Diffusion_wavelets
Method of calculating chiral anomalies
regularised because the integral is ill-defined as written. Fujikawa employed heat-kernel regularization, such that − 2 t r ln C j i = 2 i lim M → ∞ α ∫ d d
Fujikawa_method
(2000), "Albanese maps and an off diagonal long time asymptotic for the heat kernel", Comm. Math. Phys., 209 (3): 633–670, Bibcode:2000CMaPh.209..633K, doi:10
Periodic_graph_(geometry)
Swedish mathematician (born 1972)
Karlsson's research interests encompass ergodic theory, metric geometry, heat kernels, spectral graph theory, analytic number theory, and group theory. He
Anders Karlsson (mathematician)
Anders_Karlsson_(mathematician)
French-American mathematician
ISBN 978-3-540-25787-5. MR 2166237. Jorgenson, Jay; Lang, Serge (2008). The heat kernel and theta inversion on SL2(C). Springer Monographs in Mathematics. New
Serge_Lang
Infinite series that is not convergent
Dirichlet series; in applications to physics, this is known as the method of heat-kernel regularization. Abelian means are regular and linear, but not stable
Divergent_series
British mathematician (1944–2025)
Monograph series. Academic Press. ISBN 0-12-206280-9. Davies, E.B. (1989). Heat Kernels and Spectral Theory. Cambridge Tracts in Mathematics. Vol. 92. Cambridge
E._Brian_Davies
Infinite series summing alternating 1 and -1 terms
given concrete values by considering various limits. For example, the heat kernel regulator leads to the sum lim t → 0 ∑ n sgn ( ω n ) e − t | ω n |
Grandi's_series
French mathematician (born 1948)
1007/BF01388608 with G. Besson, P. Bérard Embedding Riemannian manifolds by their heat kernel, Geometric Functional Analysis (GAFA), 4, 1994, pp. 373–398 doi:10.1007/BF01896401
Sylvestre_Gallot
Australian mathematician
in Banach spaces, analysis with Clifford algebras, barriers for the heat kernel equation and functional calculus for elliptic partial differential operators
Alan_Gaius_Ramsay_McIntosh
Stochastic process
{\textstyle f,g} with sufficient regularity and decay, then consider their heat kernel convolution X = ∬ d A d B f ( A ) C n t n 2 / 2 e − t r ( A − B ) 2 2
Dyson_Brownian_motion
Parabolic partial differential equation
gives a monotonicity property of the convolution of a time-reversed heat kernel with a surface undergoing the mean curvature flow. Related flows are:
Mean_curvature_flow
Japanese mathematician (born 1935)
theory of distributions, and apply this theory to obtain expansions of heat kernels. Watanabe also made important contributions to the study of multidimensional
Shinzo_Watanabe
Russian-French mathematician
applied their injectivity radius estimate to prove Gaussian control of the heat kernel, although these estimates were later improved by Li and Yau as an application
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
Type of operator in Fourier analysis
in the form Tf = f∗K for some distribution K, known as the convolution kernel of T. In this view, translation by an amount x0 is convolution with a Dirac
Multiplier_(Fourier_analysis)
Area of mathematical analysis
symmetric spaces, and graphs, questions about eigenfunctions, eigenvalues, heat kernels, and wave propagation are often treated using harmonic-analytic methods
Harmonic_analysis
Japanese mathematician (born 1964)
significant progress to a program in which the Bergman kernel function plays a role analogous to the heat kernel of Riemannian geometry. Takebe Senior Prize (1999)
Kengo_Hirachi
Topics referred to by the same term
Croatian Conservative Party Harvard Kennedy School at Harvard University Heat kernel signature Hip-knee-shaft angle in orthopedics Hong Kong Sign Language
HKS
Measure of curvature in differential geometry
Zbl 1038.53002. Berline, Nicole; Getzler, Ezra; Vergne, Michèle (2004). Heat kernels and Dirac operators. Grundlehren Text Editions (Corrected reprint of
Scalar_curvature
Wiener process with reflecting spatial boundaries
particular, M(t) is increasing in t, which is not the case for Z(t). The heat kernel for reflected Brownian motion at p b {\displaystyle p_{b}} : f ( x ,
Reflected_Brownian_motion
Lie group of complex numbers of unit modulus; topologically a circle
e^{t\Delta }e^{2\pi inx}=e^{-4\pi ^{2}n^{2}t}e^{2\pi inx}.} Thus the heat kernel on the circle is the Fourier series p t ( x ) = ∑ n ∈ Z e − 4 π 2 n 2
Circle_group
upon surface conditions. Kernel functions can be useful in approximating and solving this integral equation. The radiative heat exchange depends on the
Kernel function for solving integral equation of surface radiation exchanges
Kernel_function_for_solving_integral_equation_of_surface_radiation_exchanges
Algebraic encoding of graph connectivity
ISBN 978-0-387-98491-9. Chung, Fan; Yau, S.-T. (1999), "Coverings, heat kernels and spanning trees", Electronic Journal of Combinatorics, 6: R12, doi:10
Tutte_polynomial
American mathematician
ISBN 0-582-06863-0 Bytsenko, A. A.; Williams, F. L. Asymptotics of the heat kernel on rank-1 locally symmetric spaces. J. Phys. A 32 (1999), no. 31, 5773–5779
Floyd_Williams
Section of a certain line bundle
tensor bundle. Berline, Nicole; Getzler, Ezra; Vergne, Michèle (2004), Heat Kernels and Dirac Operators, Berlin, New York: Springer-Verlag, ISBN 978-3-540-20062-8
Density_on_a_manifold
Mathematical result in differential geometry
The right hand side is given by the trace of the difference of the kernels of two heat operators. These have an asymptotic expansion for small positive
Atiyah–Singer_index_theorem
Partial differential equation
1017/CBO9780511721465. ISBN 0-521-68947-3. Zhang, Qi S. (2011). Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincaré Conjecture. Boca Raton, FL: CRC Press
Ricci_flow
Indian mathematician (1913–1968)
Indian mathematician who worked on partial differential equations and heat kernels. In 1946, he worked at the Institute for Advanced Study in Princeton
Subbaramiah_Minakshisundaram
"damaged kernels" for maize (corn) refers to kernels that are "badly ground-damaged, badly weather-damaged, diseased, frost-damaged, germ-damaged, heat-damaged
Grain_damage
Class of machine learning algorithms
pointwise similarities within data sets. This is usually encoded as the heat kernel of the adjacency matrix of a k-nearest neighbor graph. Finally, introduce
Manifold_alignment
Computer operating system
relating to macOS and iOS. The kernel of Darwin is XNU, a hybrid kernel which uses Open Software Foundation Mach Kernel (OSFMK) 7.3 from the OSF, various
Darwin_(operating_system)
Australian mathematician and mathematical physicist (born 1962)
theory, and algebraic topology. with Nicole Berline, Michèle Vergne, Heat Kernels and Dirac Operators, Springer Verlag, Grundlehren der Mathematischen
Ezra_Getzler
Popcorn brand
held by an attached handle over a heat source such as a stove burner or campfire and gently agitated, causing the kernels to pop and push outward against
Jiffy_Pop
Japanese mathematician (born 1948)
Sunada, Albanese maps and an off diagonal long time asymptotic for the heat kernel, Communications in Mathematical Physics 209 (2000), 633–670 M. Kotani
Toshikazu_Sunada
isomorphism between fibres. Berline, Nicole; Getzler, E.; Vergne, Michèle (2004), Heat Kernels and Dirac Operators, Berlin, New York: Springer-Verlag v t e
Equivariant_bundle
Special functions of several complex variables
and Theta-Functions". arXiv:math/0210466v1. Chang, Der-Chen (2011). Heat Kernels for Elliptic and Sub-elliptic Operators. Birkhäuser. p. 7. Tata Lectures
Theta_function
Representation of the symmetry group of spacetime in special relativity
Society, ISBN 978-0-8218-2673-7 Jorgenson, J.; Lang, S. (2008), The heat kernel and theta inversion on SL(2,C), Springer Monographs in Mathematics, Springer
Representation theory of the Lorentz group
Representation_theory_of_the_Lorentz_group
Tensorial object depending on two points in a manifold
scalar function of two points. Applications include parallel transport, heat kernels, and various Green's functions employed in quantum field theory in curved
Bitensor
German mathematician (born 1958)
under the mean curvature flow, the integral of the "backwards" Euclidean heat kernel over the evolving hypersurface is always nonincreasing.[H90] He later
Gerhard_Huisken
Fatty seed of Theobroma cacao
pulp made into juice. The seeds are placed where they can ferment. Due to heat buildup in the fermentation process, cacao beans lose most of the purplish
Cocoa_bean
American-Canadian mathematician (1930-1995)
contributions "to the theory of symmetric spaces, Lie groups and the heat kernel on these; among other things he succeeded in classifying all faithful
Carl_S._Herz
French mathematician
theorem and symplectic geometry. With Ezra Getzler, Michèle Vergne, "Heat kernels and Dirac operators", in the series called Principles of mathematical
Nicole_Berline
German computer scientist
applications in biomedical shape cognition and especially using the heat kernel more precisely the heat trace for partial shape cognition and the global point signature
Franz-Erich_Wolter
Porridge of boiled cornmeal
maize and have the germ and hull removed. Whole kernel grits are sometimes called "speckled". Whole kernel grits are often marketed as "stone ground grits"
Grits
Determinant in functional analysis
(Erice, 1977) Berline, Nicole; Getzler, Ezra; Vergne, Michèle (2004), Heat Kernels and Dirac Operators, Springer, ISBN 978-3-540-20062-8 Branson, Thomas
Functional_determinant
French mathematician
and Theta Series, Birkhäuser 1980 with Nicole Berline, Ezra Getzler: Heat kernels and Dirac operators, Springer, Grundlehren der mathematischen Wissenschaften
Michèle_Vergne
HEAT KERNEL
HEAT KERNEL
Male
Egyptian
, ("heart"); an early Egyptian astronomer.
Female
Egyptian
, the daughter of Petemet and the lady Hemsuisi.
Male
English
English surname transferred to forename use, HEATH means "heath."
Girl/Female
Indian
Love
Girl/Female
Indian, Marathi
Our Heart Beat
Surname or Lastname
English
English : variant spelling of Hart.
Surname or Lastname
English
English : metonymic occupational name for a herdsman in charge of cattle or a nickname for someone thought to resemble an ox or a cow, from Middle English neat ‘ox’, ‘cow’ (Old English nēat). The modern English adjective neat (via French from Latin nitidus ‘clean’, ‘shining’) does not occur before the 16th century, after the main period of surname formation.
Female
Egyptian
, the sister of the royal scribe User-hat.
Surname or Lastname
English (chiefly Kent)
English (chiefly Kent) : from Middle English heved ‘head’, applied as a nickname for someone with some peculiarity or disproportion of the head, or a topographic name for someone who lived on a hill or at the head of a stream or valley. This surname has long been established in Ireland.
Surname or Lastname
English (chiefly Nottinghamshire)
English (chiefly Nottinghamshire) : metonymic occupational name for a grower or seller of wheat, from Old English hwǣte ‘wheat’ (a derivative of hwīt ‘white’, because of its use in making white flour).
Female
Egyptian
, house above.
Surname or Lastname
English (chiefly southwestern)
English (chiefly southwestern) : variant of Hale 1.
Boy/Male
Bengali, Hindu, Indian, Sanskrit
Heart Beat
Boy/Male
Christian & English(British/American/Australian)
From Heath or Moorland
Female
Egyptian
, Gold of Heart.
Surname or Lastname
English (Devon)
English (Devon) : nickname from Middle English hext ‘tallest’, ‘highest’ (Old English hēhst, superlative of hēah ‘high’).
Surname or Lastname
English (chiefly Lancashire)
English (chiefly Lancashire) : habitational name from Heap Bridge in Lancashire, or a topographic name for someone who lived by a hill or heap, from Old English hēap ‘heap’, ‘mound’, ‘hill’.
Surname or Lastname
English
English : topographic name for someone who lived on a heath (Middle English hethe, Old English hǣð) or a habitational name from any of the numerous places, for example in Bedfordshire, Derbyshire, Herefordshire, Shropshire, and West Yorkshire, named with this word. The same word also denoted heather, the characteristic plant of heathland areas. This surname has also been established in Dublin since the late 16th century.
Boy/Male
Sikh
Love
Boy/Male
Hindu, Indian
Heart
HEAT KERNEL
HEAT KERNEL
Girl/Female
Tamil
Lovers
Girl/Female
Hindu
Born to wealthy parents, The mother of Kabir, To adjust
Girl/Female
American, Australian, British, English, Greek, Latin
Kind; Caring
Boy/Male
Muslim
Collector
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Light
Girl/Female
Muslim
Worshipper
Girl/Female
Hindu
Soft nature
Girl/Female
Tamil
Beloved, Another name of Lord Vishnu, Goddess Lakshmi and a name given to karmic Yoga
Boy/Male
Indian, Punjabi, Sikh
Lord of Beauty
Boy/Male
Tamil
Mahatru | மஹாதà¯à®°à¯‚
Lord Vishnu
HEAT KERNEL
HEAT KERNEL
HEAT KERNEL
HEAT KERNEL
HEAT KERNEL
imp.
of Beat
imp. & p. p.
Heated; as, the iron though heat red-hot.
p. p.
of Beat
v. t.
To make hot; to communicate heat to, or cause to grow warm; as, to heat an oven or furnace, an iron, or the like.
v. i.
To grow warm or hot by fermentation, or the development of heat by chemical action; as, green hay heats in a mow, and manure in the dunghill.
n.
The seat of the intellect; the brain; the understanding; the mental faculties; as, a good head, that is, a good mind; it never entered his head, it did not occur to him; of his own head, of his own thought or will.
n.
A headdress; a covering of the head; as, a laced head; a head of hair.
n.
High temperature, as distinguished from low temperature, or cold; as, the heat of summer and the cold of winter; heat of the skin or body in fever, etc.
n.
Wheat, or bread made from wheat.
p. p.
of Hent
n.
A recurring stroke; a throb; a pulsation; as, a beat of the heart; the beat of the pulse.
v. t.
To set on the head; as, to head a cask.
v. t.
To form a head to; to fit or furnish with a head; as, to head a nail.
v. i.
A cheat or swindler of the lowest grade; -- often emphasized by dead; as, a dead beat.
a.
Principal; chief; leading; first; as, the head master of a school; the head man of a tribe; a head chorister; a head cook.
v. t.
To put a seat or bottom in; as, to seat a chair.
v. i.
To grow warm or hot by the action of fire or friction, etc., or the communication of heat; as, the iron or the water heats slowly.
n.
Utmost violence; rage; vehemence; as, the heat of battle or party.
a.
Neat; feat.